\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 3/0/C, 2.3/3/A}
    \tkzDefMidPoint(A,B)  \tkzGetPoint{D}
    \tkzDefMidPoint(A,C)  \tkzGetPoint{E}
    \tkzDefPointOnLine[pos=2](D,E)  \tkzGetPoint{F}
    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(D,E)
    \tkzDrawSegments[dashed](E,F  F,C)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](B,D)
    \tkzLabelPoints[right](F)
    \tkzLabelPoints[above right](E)
    \tkzLabelPoints[below](C)
\end{tikzpicture}

